1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s2008m [1.1K]
2 years ago
7

Given: Triangle ABC, mmBC=24 cm, line segment AL- < bisector

Mathematics
1 answer:
Furkat [3]2 years ago
6 0

The value of line AL is 21. 51cm

<h3>How to determine the length</h3>

To find line AL,

Using

Sin α = opposite/ hypotenuse to find line AB

Sin 90 = x/ 24

1 = x/24

Cross multiply

x = 24cm

Now, let's find line AC

Sin angle B = line AC/24

Note that to find angle B

angle A + angle B + angle C = 180

But angle B = 2 Angle A

x + 2x + 90 = 180

3x + 90 = 180

3x = 180-90

x = 30°

Angle B = 2 × 30 = 60°

Sin 60 = x/ 24

0. 8660 = x/24

Cross multiply

x = 24 × 0. 8660

x = 20. 78cm

We have the angle of A  in the given triangle to be divide into two by the bisector, angle A = 15°

To find line AL, we use

Cos = adjacent/ line AL

Cos 15 = 20. 78/ line AL

Line AL = 20. 78/ cos 15

Line AL = 20. 78 / 0. 9659

Line AL = 21. 51 cm

Thus, the value of line AL is 21. 51cm

Learn more about trigonometry ratio here:

brainly.com/question/24349828

#SPJ1

You might be interested in
Trigonometry please help! work need to be shown
padilas [110]

Answer:

x = 5.56

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 46°

Hypotenuse = 8

Adjacent length = x

Apply CAH:

Cos 46 = Adj/Hyp

Cos 46 = x/8

8 × Cos 46 = x

5.55726696 = x

x = 5.56 (nearest hundredth)

7 0
3 years ago
Solve for x using desmos or the quadratic formula 2x^2 - 5x - 12 = 0
ivanzaharov [21]

Answer:

x = 4 or x = (-3)/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - 5 x - 12 = 0

x = (5 ± sqrt((-5)^2 - 4×2 (-12)))/(2×2) = (5 ± sqrt(25 + 96))/4 = (5 ± sqrt(121))/4:

x = (5 + sqrt(121))/4 or x = (5 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (5 + 11)/4 or x = (5 - 11)/4

(5 + 11)/4 = 16/4 = 4:

x = 4 or x = (5 - 11)/4

(5 - 11)/4 = -6/4 = -3/2:

Answer:  x = 4 or x = (-3)/2

5 0
3 years ago
Read 2 more answers
I just put a random answer which is the correct one in this question
Sergeu [11.5K]
Here is how you do it so they asked 120 kids and 46 of them hangs out 
on Saturdays so you just do this 46/120=38%
4 0
3 years ago
Maribel wants to skate 12 miles on Monday. If she skates io mile Monday morning and į of that distance Monday afternoon, will sh
Alex17521 [72]

Answer & Step-by-step explanation:

Yes, Maribel will reach her goal. If you convert each fraction with a denominator of 6 then add it up, it will be 1 7/6 which is equal to 2 1/6.

I hope this helps ;)

5 0
3 years ago
Suggest the best imperial unit to measure:
ella [17]
1-kilometers or miles
2-what is the size of the jug? (If is smal use ml if is large liters
3-grames ou onces
4onces or kilograms
5 0
3 years ago
Read 2 more answers
Other questions:
  • [x + 3y = -4] [2x + 6y = 5]
    5·1 answer
  • What is 8blank7 hundred divided by 4 equal
    7·1 answer
  • How to multiply radicals
    11·1 answer
  • 1a) Your brother has saved $2,000 for vacation. If his airplane ticket costs $600, and his hotel room costs $200 per day, write
    10·1 answer
  • Which shows .51 and .069 in fraction form in equal denominator.
    14·2 answers
  • ***PLEASE HELP***
    5·1 answer
  • 3 tacos cost $18. Complete the table to show the cost of 4,5 and 6 tacos at the same rate. Create and fill in the table using th
    5·1 answer
  • Tell whether if the following is a solution to the linear equation or not.
    11·1 answer
  • Please help me with this problem TwT. Triangles.
    6·1 answer
  • Show work to the answer
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!